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4023141320 = 23511191513187
BaseRepresentation
bin1110111111001100…
…0100001111001000
3101101101020202101002
43233303010033020
531214411010240
61503113514132
7201461064662
oct35763041710
911341222332
104023141320
111784a5a690
12943412948
134c16648c3
142a2459532
151882e6d15
hexefcc43c8

4023141320 has 128 divisors (see below), whose sum is σ = 10466841600. Its totient is φ = 1376352000.

The previous prime is 4023141217. The next prime is 4023141323. The reversal of 4023141320 is 231413204.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4023141292 and 4023141301.

It is not an unprimeable number, because it can be changed into a prime (4023141323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1260767 + ... + 1263953.

It is an arithmetic number, because the mean of its divisors is an integer number (81772200).

Almost surely, 24023141320 is an apocalyptic number.

4023141320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4023141320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5233420800).

4023141320 is an abundant number, since it is smaller than the sum of its proper divisors (6443700280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4023141320 is a wasteful number, since it uses less digits than its factorization.

4023141320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3379 (or 3375 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 4023141320 is about 63428.2375602539. The cubic root of 4023141320 is about 1590.4563804694.

Adding to 4023141320 its reverse (231413204), we get a palindrome (4254554524).

The spelling of 4023141320 in words is "four billion, twenty-three million, one hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 151 152 190 209 220 302 380 418 440 604 755 760 836 1045 1208 1510 1661 1672 2090 2869 3020 3187 3322 4180 5738 6040 6374 6644 8305 8360 11476 12748 13288 14345 15935 16610 22952 25496 28690 31559 31870 33220 35057 57380 60553 63118 63740 66440 70114 114760 121106 126236 127480 140228 157795 175285 242212 252472 280456 302765 315590 350570 481237 484424 605530 631180 666083 701140 962474 1211060 1262360 1332166 1402280 1924948 2406185 2422120 2664332 3330415 3849896 4812370 5293607 5328664 6660830 9143503 9624740 10587214 13321660 18287006 19249480 21174428 26468035 26643320 36574012 42348856 45717515 52936070 73148024 91435030 100578533 105872140 182870060 201157066 211744280 365740120 402314132 502892665 804628264 1005785330 2011570660 4023141320